We derive a covariant expression for the renormalized holographic entanglement entropy Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This is written as sum of bare functional obtained using standard conical defect techniques, and counterterm defined at boundary extremal surface functional. The latter corresponds cod-2 self-replicating part extrinsi...

‎let $m^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de sitter space or an anti-de‎ ‎sitter space‎, ‎$s$ and $k$ be the squared norm of the second‎ ‎fundamental form and gauss-kronecker curvature of $m^n$‎. ‎if $s$ or‎ ‎$k$ is constant‎, ‎nonzero and $m^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...

In this paper, we extend the theory of Ricci flows satisfying a Type-I scalar curvature bound at finite-time singularity. [2], Bamler showed that rescaling procedure will produce singular shrinking gradient soliton with singularities codimension 4. We prove entropy conjugate heat kernel based time converges to soliton, and use characterize set flow solution in terms density function. This gener...

Conical shock waves are generated as sharp conical solid projectiles fly supersonically in the air. We study such conical shock waves in steady supersonic flow using isentropic Euler system. The stability of such attached conical shock waves for non-symmetrical conical projectile and non-uniform incoming supersonic flow are established. Meanwhile, the existence of the solution to the Euler syst...

This paper deals with free vibration analysis of continuously graded fiber reinforced (CGFR) truncated conical shell based on third-order shear deformation theory (TSDT), by developing special power-law distributions. The orthotropic (CGFR) truncated conical shell are clamped and simply supported at the both ends. It is assumed to have a smooth variation of fibers volume fraction in the thickne...

Abstract Working in isotropic coordinates, we get some maximally symmetric nonrotating solutions of the Einstein-aether theory $$2+1$$ 2 + 1 dimensions, all analytical forms. Curvature singularities are not found Ricci and Kretschmann scalars, while con...

A straightforward procedure has been developed to quickly determine an inviscid design of a hypersonic wind tunnel nozzle when the test gas is both calorically and thermally imperfect. This real gas procedure divides the nozzle into four distinct parts: subsonic, throat to conical, conical, and turning flow regions. The design process is greatly simplified by treating the imperfect gas effects ...

By applying ’Darmois-Israel formalism’, we establish a new class of thin shell wormhole in the context of global monopole resulting from the breaking of a global O(3) symmetry. Since global monopole is asymptotically conical ( no longer asymptotically flat ), we call it as conical thin shell wormhole. Different characteristics of this conical thin shell wormhole, namely, time evolution of the t...

Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl’s asymptotic formula. 1. Discreteness of the Spectrum When...